I have developed a Probability Calculation app designed for users who may not have access to statistical software. This app allows users to easily calculate probability values using various distributions, simplifying the process of understanding and applying statistical concepts. It provides an intuitive interface to help users make informed decisions based on probability analysis. Click here to see this app.

The Central Limit Theorem is one of the most popular theorems in statistics. It states that as the sample size increases, the sampling distribution of the sample mean approaches a normal distribution, regardless of the population's shape. This theorem is foundational for inferential statistics, supporting hypothesis testing and confidence intervals. I have developed a Shiny app using this concept, enabling users to easily understand how the distribution behaves with large samples. To see the app, click here.

The Law of Large Numbers is a fundamental theorem in statistics. It states that as the sample size grows, the sample mean will converge to the population mean, regardless of initial variations. This principle is essential for probability theory and ensures reliable estimates in repeated trials. I have developed a Shiny app based on this concept, allowing users to observe how the sample mean approaches the population mean as the number of trials increases. Please click here to see this app.